[P = 5.2RI] Determine the force in each member of the truss in Fig. Q4 and state if the members are in tension or compression. 3.61kN (C), FCB [FcD= = 3kN (T), FBA = 3kN (T), FBD = 3kN (C), FDA = 2.7kN (T), FDE = 6.31KN (C)] %3D %3D %3D
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- You open a restaurantand hope to entice customers byhanging out a sign (Fig. ).The uniform horizontal beam supportingthe sign is 1.50 m long, hasa mass of 16.0 kg, and is hingedto the wall. The sign itself is uniformwith a mass of 28.0 kg andoverall length of 1.20 m. The twowires supporting the sign are each32.0 cm long, are 90.0 cm apart,and are equally spaced from themiddle of the sign. The cable supportingthe beam is 2.00 m long.(a) What minimum tension mustyour cable be able to support without having your sign come crashingdown? (b) What minimum vertical force must the hinge be able to supportwithout pulling out of the wall?Would a wooden cylinder (s = 0.61) 660mm in diameter and 1.3m long be stable if placed vetically in oil (s = 0.85)?A 0.5-m diameter helium (Density of He = 0.18 kg/m3) balloon is attached by a rope to the bottom of a 10-m deep freshwater lake (Fig. 1). Given that the rope can sustain a maximum tensile force of 300 N, would it be able to secure the balloon? Please clearly illustrate your free-body diagram.
- An aeroplane flies at an altitude of 10 km, where the atmospheric pressure is 0.26 bar. If the cabin is pressurised to 0.63 bar, what is the force due to hydrostatic pressure acting on a window of area 0.065 m2?If a scuba diver descends too quickly into the sea, the internal pressure on each eardrum remains at atmospheric pressure, while the external pressure increases due to the increased water depth. At sufficient depths, the difference between the external and internal pressures can rupture an eardrum. Eardrums can rupture when the pressure difference is as little as 35 kPa. What is the depth at which this pressure difference could occur? The density of seawater is 1025 kg/m3. 1)sketch (include everything in the system) 2)solution(step by step)The surface tensions of mercury and water at 60 degrees Celcius are 0.47N/m and 0.0662 N/m, respectively. What capillary height changes will occur in these two fluids when they are in contact with air in a glass tube of radius 0.30mm? Use θ = 130° for mercury, and 0° for water; y = 132.3 kN/m3 for mercury and 9.650 kN/m3 for water. Provide the given along with its solution. (Please write legibly, I did not understand the first solution.)
- A commpon way of salvaging cannons from old wreacks is to attach an inflatable balloon filed with air. Assume that the cannon is a solid cylinder of iron which is 1.30m long with a radius 17.3cm. The density of iron is 7.87g/cm^3. a. If an air bag were filled twice the volume necessary, what will be the tension in the rope between the air bag and the cannon when the air bag reaches the surface and comes to rest? What volume of air bag wil be floating above the water surface?A gas at 20 ° C may be considered rarefi ed, deviating fromthe continuum concept, when it contains less than 10 12molecules per cubic millimeter. If Avogadro’s number is6.023 E23 molecules per mole, what absolute pressure (inPa) for air does this represent?The load on a 2-in.-diameter hydraulic cylinder increases from 10,000 lb to 15,000 lb. Due to the compressibility of the oil, the piston retracts 0.1 in. If the volume of oil under compression is 10 in^3, what is the bulk modulus of the oil in units of kpsi? Enter only a whole number.
- A spar buoy is a buoyant rod weighted to fl oat and protrudevertically, as in Fig. It can be used for measurementsor markers. Suppose that the buoy is maple wood(SG = 0.6), 2 in by 2 in by 12 ft, fl oating in seawater(SG = 1.025). How many pounds of steel (SG =7.85)should be added to the bottom end so that h = 18 in?The diameter of ball which is suspended by a rope in atmosphere is 10cm , what is the tension in the rope if the density of ball is 2000kg/m3 10.2 N 13.6 kN 56.4 N 40.5 kNFor the triangular element in Fig. P1.3, show that a tiltedfree liquid surface, in contact with an atmosphere at pressurep a , must undergo shear stress and hence begin to fl ow.Hint: Account for the weight of the fl uid and show that ano-shear condition will cause horizontal forces to be out ofbalance.